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4 March, 23:29

Suppose 20 donors come to a blood drive. Assume that the blood donors are not related in any way, so that we can consider them to be independent. The probability that a donor has type "O" blood is 0.06. What is the probability that 1 or more donors have type O blood? A. 0.370 B. 0.290 C. 0.630 D. 0.710

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  1. 4 March, 23:50
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    Given Information:

    Probability of success = p = 0.06

    Number of trials = n = 20

    Required Information:

    Probability of 1 or more donors of "O" blood group = ?

    Answer:

    P (x ≥ 1) = 0.710

    Step-by-step explanation:

    We are given the probability that a donor has type "O" blood group.

    We want to find out the probability of having 1 or more donors who has type "O" blood group out of 20 donors.

    P (x ≥ 1) = 1 - P (x = 0)

    So we will first find the probability that none of the donors has type "O" blood group then we will subtract that from 1 to get the probability of having 1 or more donors with "O" blood group.

    P (x = 0) = (p⁰) (1 - p) ²⁰

    P (x = 0) = (0.06⁰) (1 - 0.06) ²⁰

    P (x = 0) = (1) (0.94) ²⁰

    P (x = 0) = 0.290

    So the probability of having 1 or more donors with "O" blood group is

    P (x ≥ 1) = 1 - P (x = 0)

    P (x ≥ 1) = 1 - 0.290

    P (x ≥ 1) = 0.710

    P (x ≥ 1) = 71%

    Therefore, the correct answer is D. 0.710
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